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2131404221 is a prime number
BaseRepresentation
bin111111100001010…
…1010010110111101
312111112121112221002
41333002222112331
513331114413341
6551255220045
7103550431322
oct17702522675
95445545832
102131404221
119a41385a1
124b5977625
1327c76503b
14163102b49
15c71bc29b
hex7f0aa5bd

2131404221 has 2 divisors, whose sum is σ = 2131404222. Its totient is φ = 2131404220.

The previous prime is 2131404217. The next prime is 2131404239. The reversal of 2131404221 is 1224041312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1875756100 + 255648121 = 43310^2 + 15989^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131404221 - 22 = 2131404217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131404193 and 2131404202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131404251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065702110 + 1065702111.

It is an arithmetic number, because the mean of its divisors is an integer number (1065702111).

Almost surely, 22131404221 is an apocalyptic number.

It is an amenable number.

2131404221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131404221 is an equidigital number, since it uses as much as digits as its factorization.

2131404221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2131404221 is about 46167.1335584093. The cubic root of 2131404221 is about 1286.9310338127.

Adding to 2131404221 its reverse (1224041312), we get a palindrome (3355445533).

The spelling of 2131404221 in words is "two billion, one hundred thirty-one million, four hundred four thousand, two hundred twenty-one".